Answer:
The equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex] and y - intercept = -2 will be:
[tex]y=-\:\frac{4}{3}x-2[/tex]
Step-by-step explanation:
As the slope intercept form is given by
[tex]y=mx+b[/tex]
here
As the given slope is
[tex]m\:=-\:\frac{4}{3}[/tex]
y - intercept = b = -2
so substituting the values in the slope intercept form
[tex]y=mx+b[/tex]
[tex]y=\left(-\:\frac{4}{3}\right)x+\left(-2\right)[/tex]
[tex]y=-\:\frac{4}{3}x-2[/tex]
Therefore, the equation in slope-intercept form of a line with slope [tex]m\:=-\:\frac{4}{3}[/tex] and y - intercept = -2 will be:
[tex]y=-\:\frac{4}{3}x-2[/tex]
